closed field
Mathematics term: a field in which every polynomial of positive degree has a root. Used in algebra and related areas.
The field of complex numbers is an algebraically closed field.
The concept of a closed field is important in Galois theory.
algebraically closed field
Compound of 閉 (へい, 'closed') and 体 (たい, 'field' in the mathematical sense). The exact historical derivation is uncertain; it is a technical term in algebra.